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Transverse momentum and collision energy dependence of high $p_{T}$ hadron suppression in Au+Au collisions at ultrarelativistic energies

Nuclear Experiment · Submitted 19 May 2003 · 28 references

Pith's verdict: The same-energy p+p reference plus RCP out to 12 GeV/c makes the flatness of the suppression a measured fact; the measurement is solid, the theory comparison is thinner than the prose suggests.

T0 · AI review

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arXiv IDnucl-ex/0305015 (version 4)
Pith IDJDHIKT6H, Pith's permanent record of this paper and its review
Citationet al. (STAR Collaboration), J. Adams. "Transverse momentum and collision energy dependence of high $p_{T}$ hadron suppression in Au+Au collisions at ultrarelativistic energies." arXiv:nucl-ex/0305015 (2003). https://pith.science/paper/JDHIKT6H
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The paper

The paper claims

STAR finds high-momentum hadrons from central gold-gold collisions cut down by a nearly constant factor of four to five, with no sign of the momentum dependence that cold-matter or hadron-scattering models predict.

The reading

The STAR Collaboration measures how many charged hadrons come out at high transverse momentum ($p_T$) from gold-gold collisions at 200 GeV per nucleon pair, and compares them to a proton-proton reference measured at the same energy for the first time. The comparison is packaged in the nuclear modification factor $R_{AA}$, which asks whether a nucleus is just a pile of independent proton-proton collisions; if it were, $R_{AA}$ would equal one. Instead, in the most central (head-on) collisions, the yield is suppressed by a factor of four to five between 6 and 10 GeV/c, and the central-to-peripheral ratio $R_{CP}$ is roughly flat from 5 out to 12 GeV/c. That flatness is the point: several proposed explanations of the suppression predict that it should weaken as momentum rises, and it does not. A reader should care because this is the sharpest statement at the time that the suppression is a property of the dense medium itself rather than of how a jet fragments into hadrons at a particular energy.

What carries the argument

The load-bearing quantity is the nuclear modification factor $R_{AA}(p_T) = (d^2N_{AA}/dp_T dη) / (T_{AA} d^2σ_{NN}/dp_T dη)$, where the nuclear thickness $T_{AA} = ⟨N_{bin}⟩/σ^{NN}_{inel}$ comes from a Glauber calculation and encodes the geometry of the collision. $R_{AA}=1$ means the nucleus behaves as an incoherent sum of binary nucleon-nucleon collisions; $R_{AA}<1$ means something in the nucleus or the medium removes hadrons from the final state. The companion ratio $R_{CP}$, central over peripheral Au+Au normalized by $⟨N_{bin}⟩$, cancels much of the $p+p$ normalization uncertainty and reaches higher $p_T$ with smaller point-to-point errors, which is why the flatness claim rests on it. The measured $p+p$ spectrum itself is a new ingredient at this energy, and its normalization enters every panel of $R_{AA}$.

Extended reading notes

Core claim

The paper establishes that inclusive charged hadron production in central Au+Au collisions at $100+100$ GeV beams is suppressed relative to the measured $p+p$ reference by a factor of about 4-5 for $6 < p_T < 10$ GeV/c, and that the central-to-peripheral ratio $R_{CP}$ is approximately constant over $5 < p_T < 12$ GeV/c. That constancy is what carries the argument. Models in which jets are attenuated while forming in cold nuclear matter, or in which the fragmenting hadron scatters on its way out, predict a suppression that shrinks as $p_T$ grows over exactly this window; the data show no such rise. By contrast, two perturbative QCD calculations that combine nuclear shadowing, the Cronin effect, and partonic energy loss in a dense medium, and a model of initial-state gluon saturation, reproduce the shape of the suppression, with the saturation model doing well for central collisions but less well for peripheral ones. The paper also reports the collision-energy ratio $R_{200/130}(p_T)$ for four centrality bins, which the pQCD-I calculation attributes mainly to $x$-dependent nuclear shadowing.

Load-bearing premise

The flat plateau above 6 GeV/c rests on subtracting weak-decay backgrounds using hyperon and kaon yield ratios measured only below 6 GeV/c and then assumed constant, with the $Λ$ yield scaled by a hand-chosen factor of 1.4 for $Σ^+$ decays, so a momentum-dependent change in strangeness production over 6 to 12 GeV/c would tilt the plateau.

Editorial extensions

If this is right

  • The suppression of high-$p_T$ hadrons in central Au+Au is approximately momentum-independent between 5 and 12 GeV/c, so any explanation must produce a plateau rather than a rising $R_{AA}$ over that window.
  • Cold nuclear matter attenuation of jet formation and in-medium scattering of fragmentation hadrons are disfavored as the dominant cause, since both predict a suppression that weakens with increasing $p_T$.
  • Models combining nuclear shadowing, the Cronin effect, and final-state partonic energy loss in dense matter describe the $p_T$ and centrality dependence, with the central-collision energy loss adjusted to a density roughly 15 times that of cold nuclear matter.
  • The initial-state gluon saturation model reproduces the central-collision suppression without fitting its magnitude, but describes the peripheral data less well.
  • The ratio of yields at 200 and 130 GeV per nucleon pair is consistent with pQCD-I once $x$-dependent nuclear shadowing is included, making the collision-energy dependence a handle on shadowing at low Bjorken $x$.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Because $R_{CP}$ is built from two Au+Au spectra, its flatness is the more robust half of the claim; the absolute depth of $R_{AA}$ inherits the $\pm 14\%$ $p+p$ normalization, so a reader should treat the plateau's existence as firmer than its precise height.
  • The natural discriminating experiment is the one the paper itself points to: a $d+Au$ run at the same energy would separate initial-state nuclear effects from final-state medium effects, and the flat plateau predicts that $R_{dAu}$ should not show the same factor-of-four suppression.
  • If the plateau persists to substantially higher $p_T$ than 12 GeV/c, the energy-loss picture would need the medium-induced radiation to remain effective for partons whose formation time exceeds the medium's lifetime, which is a nontrivial constraint on the model.
  • The energy-dependence ratio $R_{200/130}$ is a cheap consistency check on shadowing parametrizations: a future measurement at a third collision energy with the same detector would over-constrain the $x$ dependence that pQCD-I currently fits.
Original abstract

We report high statistics measurements of inclusive charged hadron production in Au+Au and p+p collisions at \sqrtsNN=200 GeV. A large, approximately constant hadron suppression is observed in central Au+Au collisions for $5\lt\pT\lt12$ GeV/c. The collision energy dependence of the yields and the centrality and \pT dependence of the suppression provide stringent constraints on theoretical models of suppression. Models incorporating initial-state gluon saturation or partonic energy loss in dense matter are largely consistent with observations. We observe no evidence of \pT-dependent suppression, which may be expected from models incorporating jet attentuation in cold nuclear matter or scattering of fragmentation hadrons.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,262 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.18 · human participants 0.02 · controlled comparison 0.85 · randomized assignment 0.01 · states quantitative result 0.86 · compares with prior results 0.69 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; .

We report high statistics measurements of inclusive charged hadron production in Au+Au and p+p collisions at \sqrtsNN=200 GeV. A large, approximately constant hadron suppression is observed in central Au+Au collisions for $5\lt\pT\lt12$ GeV/c. The collision energy dependence of the yields and the centrality and \pT dependence of the suppression provide stringent constraints on theoretical models of suppression. Models incorporating initial-state gluon saturation or partonic energy loss in dense matter are largely consistent with observations. We observe no evidence of \pT-dependent suppression, which may be expected from models incorporating jet attentuation in cold nuclear matter or scattering of fragmentation hadrons.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We report high statistics measurements of inclusive charged hadron production in Au+Au and p+p collisions at \sqrtsNN=200 GeV. contribution 0.98 0.97 0.05 asserted 1.00
s1 A large, approximately constant hadron suppression is observed in central Au+Au collisions for $5\lt\pT\lt12$ GeV/c. result 1.00 0.95 0.53 asserted 1.00
s2 The collision energy dependence of the yields and the centrality and \pT dependence of the suppression provide stringent constraints on theoretical models of suppression. interpretation 0.96 0.49 0.22 asserted 1.00
s3 Models incorporating initial-state gluon saturation or partonic energy loss in dense matter are largely consistent with observations. interpretation 0.98 0.12 0.17 hedged possibility 0.81
s4 We observe no evidence of \pT-dependent suppression, which may be expected from models incorporating jet attentuation in cold nuclear matter or scattering of fragmentation hadrons. result 0.77 0.94 0.19 asserted 0.53

What kind of paper the classifier reports this is: empirical study 1.00 · evidence from observation or experiment 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v4
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

Figures
Figure 2. shows R200/130(pT ), the ratio of charged hadron yields at √sNN =200 and 130 GeV[3], for central￾ity selected Au+Au collisions. Error bars are the quadra￾ture sum of the statistical and systematic uncertainties, dominated for pT>4 GeV/c by statistics at 130 GeV. In the absence of nuclear effects, the hard process in￾clusive yield in nuclear collisions is expected to scale as hNbini, the average number of binary collisions for the re￾spective centrality selection. R200/130(pT ) has not been scaled by the ratio Nbin(200)/Nbin(130), which Glauber model calculations [3, 25] give as ∼…
Figure 4. shows RCP (pT ), the hNbini-normalized ratio of central and peripheral Au+Au spectra. RCP (pT ) ex￾tends to higher pT than RAA(pT ), with smaller point￾to-point uncertainties. The error bars show the quadra￾ture sum of statistical and uncorrelated systematic un￾certainties. Statistical errors dominate the uncertainties for pT>8 GeV/c. Lines and grey bands are as in

Showing 2 of the paper's 4 figures. See all figures in the PDF ↗ Figures reproduced from arXiv:nucl-ex/0305015 by the authors.

References
How later papers used it

119 later papers cite it

Evidence: some. 119 of the citing papers share no author with it, and 22 of those carry a confident label from Pith's citation classifier.

Pith read 9 of the 140 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

Uses its data or values 6 of 14 papers with this label
How the literature uses it

95 arXiv papers cite this in 113 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 78 sentences without a confident label

Uses its data or values 9 papers
Compares with it 2 papers
Cites it as background 21 papers
  • The three most important results that came out from the heavy ion programme at RHIC are (i) dramatic suppression of inclusive hadrons production at large transverse momentum (high $p_T$ suppression) [ref] , (ii) disappearance of away side two hadron correlation peak [ref] and (iii) large elliptic flow [ref] .

    Jet quenching and elliptic flow · Introduction · 0.81

  • The nuclear modification factor of nucleus-nucleus collisions at RHIC has been studied extensively for interactions at $= 39$ [ref] $62.4$ [ref] , $130$ [ref] and $200$ [ref] , as well as for interactions at $= 22.4$ [ref] , $62.4$ [ref] and $200$ [ref] .

    Nucleon-Gold Collisions at 200 AGeV Using Tagged d+Au Interactions in PHOBOS · An Improved Reference System · 0.84

  • The experimental attempts started at the Relativistic Heavy Ion Collider (RHIC) with the observation of suppression in the yield of single inclusive hadrons [ref] and associated hadrons (dihadrons) [ref] produced with high transverse momentum relative to the yield in proton-proton collisions.

    Hard jet substructure in a multistage approach · Introduction · 0.80

Discussion

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